Question
In a previousyear, 56% of females aged 15 and older lived alone. A sociologist tests whether this percentage is different today by conducting a random
In a previousyear, 56% of females aged 15 and older lived alone. A sociologist tests whether this percentage is different today by conducting a random sample of 700 females aged 15 and older and finds that 397 are living alone. Is there sufficient evidence at the alpha equals =0.1 level of significance to conclude the proportion haschanged?
Because np 0 left parenthesis 1 minus p 0 right parenthesis
np01p0equals =172.5
172.5 greater than> 10, the sample size is less than
5% of the populationsize, and the sample is given to be random,
the requirements for testing the hypothesis are
satisfied.
(Round to one decimal place asneeded.)
Identify the null and alternative hypotheses for this test.
UpperH0: p equals=0.56 versus Upper H 1
H1: p not equals 0.56
(Type integers or decimals. Do notround.)
Find the test statistic for this hypothesis test.
z0equals = 0.37 (Round to two decimal places asneeded.)
Determine theP-value for this hypothesis test.
P-value equals = _______ (Round to three decimal places asneeded.)
I cannot figure out how to calculate the p-value for this situation.
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